how do you factorise this equation using algebraic results?
2h^2 - 12h + 18
Factorisation?
2008-05-16 12:51 pm
回答 (13)
2008-05-16 12:57 pm
✔ 最佳答案
2h^2 - 12h + 18= 2(h^2 - 6h + 9)
= 2(h-3)^2
Or more general:
y = ax^2 + bx + c
= x^2 + bx/a + c/a
= (x+ b/2a)^2 - (b/2a)^2 + c/a
2008-05-16 2:45 pm
2h^2 - 12h + 18
= 2(h^2 - 6h + 9)
= 2(h - 3)(h - 3)
= 2(h - 3)^2
= 2(h^2 - 6h + 9)
= 2(h - 3)(h - 3)
= 2(h - 3)^2
2008-05-16 1:07 pm
The first thing to do is factor a 2 out of each term
2(h^2 - 6h + 9)
the quadratic factors as
(h-3)(h-3)
so the complete factorization is
2(h-3)(h-3)
2(h^2 - 6h + 9)
the quadratic factors as
(h-3)(h-3)
so the complete factorization is
2(h-3)(h-3)
參考: Longtime college math teacher
2008-05-16 1:04 pm
Take out 2 common 2(h^2 - 6h + 9) = 2(h - 3)^2
2008-05-16 1:01 pm
h1= {-(-12)+(144-4(2)(18))^(0.5)}/2(2)
= (12+0)/4
= 3
h2={-(-12)-(144-4(2)(18))^(0.5)}/2(2)
= (12+0)/4
= 3
This equation is factorised as (h-3)*(h-3).And the two roots are real and equal which is 3
= (12+0)/4
= 3
h2={-(-12)-(144-4(2)(18))^(0.5)}/2(2)
= (12+0)/4
= 3
This equation is factorised as (h-3)*(h-3).And the two roots are real and equal which is 3
2008-05-16 12:59 pm
2h^2 - 12h + 18=2(h^2 - 6h + 9)=2(h-3)^2.
Does this serve your purpose?
Does this serve your purpose?
2008-05-16 12:58 pm
2h^2-12h+18
=2 [h^2-6h+9]
=2[h^2-2.3.h+3^2]
=2 [(h-3)^2] ans
=2 [h^2-6h+9]
=2[h^2-2.3.h+3^2]
=2 [(h-3)^2] ans
2008-05-16 12:58 pm
2h^2 - 12h + 18
2(h^2 -6h +9)
2(h^2 -3h-3h +9)
2(h(h-3)-3(h -3))
2(h-3)(h-3)
2(h-3)^2
2(h^2 -6h +9)
2(h^2 -3h-3h +9)
2(h(h-3)-3(h -3))
2(h-3)(h-3)
2(h-3)^2
2008-05-16 12:57 pm
2h^2 - 12h + 18
2h^2 - 6h - 6h + 18
2h(h - 3) - 6(h - 3)
(h-3)(2h-6)
2h^2 - 6h - 6h + 18
2h(h - 3) - 6(h - 3)
(h-3)(2h-6)
2008-05-16 1:03 pm
very simple dude
and yeah you've only said factorise it ok
2h^2-12h+18=0
2h^2-6h-6h+18=0
2h(h-3)-6(h-3)=0
(2h-6) (h-3) =0
your answer is here
and yeah you've only said factorise it ok
2h^2-12h+18=0
2h^2-6h-6h+18=0
2h(h-3)-6(h-3)=0
(2h-6) (h-3) =0
your answer is here
參考: my great brain :D
i am 15 year old boy nice 2 meet you
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